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Finding the Third Proportional to 267,873 and 363,807

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Solution

The third proportional to 267,873 and 363,807 is: 494,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,873 : 363,807 = 363,807 : x
  2. Step 2: Convert to fraction form
    267,873/363,807 = 363,807/x
  3. Step 3: Cross multiply
    267,873x = 363,807 × 363,807
  4. Step 4: Simplify right side
    267,873x = 132,355,533,249
  5. Step 5: Solve for x
    x = 132,355,533,249/267,873
  6. Step 6: Final answer
    x = 494,098.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.